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Finding the Third Proportional to 147,428 and 306,522

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Solution

The third proportional to 147,428 and 306,522 is: 637,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,428 : 306,522 = 306,522 : x
  2. Step 2: Convert to fraction form
    147,428/306,522 = 306,522/x
  3. Step 3: Cross multiply
    147,428x = 306,522 × 306,522
  4. Step 4: Simplify right side
    147,428x = 93,955,736,484
  5. Step 5: Solve for x
    x = 93,955,736,484/147,428
  6. Step 6: Final answer
    x = 637,299.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.